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Finding the Fourth Proportional to 204,027.60, 305,742.60 and 182,967.60

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Solution

The fourth proportional to 204,027.60, 305,742.60 and 182,967.60 is: 274,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,027.60 : 305,742.60 = 182,967.60 : x
  2. Step 2: Convert to fraction form
    204,027.60/305,742.60 = 182,967.60/x
  3. Step 3: Cross multiply
    204,027.60x = 305,742.60 × 182,967.60
  4. Step 4: Simplify right side
    204,027.60x = 55,940,989,739.76
  5. Step 5: Solve for x
    x = 55,940,989,739.76/204,027.60
  6. Step 6: Final answer
    x = 274,183.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.